• string theory

• books about string theory

Ingredients

• quantum field theory

• sigma-model,

  • CFT, perturbation theory

• effective background QFT

  • gravity, supergravity, Yang-Mills theory, quantum gravity

Critical string models

• heterotic string theory

  • Green-Schwarz mechanism, differential string structure,

  • dual heterotic string theory

    • differential fivebrane structure

• type II string theory

  • type IIA string theory

  • type IIB string theory

    • F-theory

• string field theory

• duality in string theory

  • T-duality, mirror symmetry

  • S-duality, electric-magnetic duality

  • U-duality

  • open/closed string duality

    • AdS/CFT correspondence, holographic principle

    • KLT relations

• 11-dimensional supergravity, M-theory

  • Hořava-Witten theory

Extended objects

• brane

• D-brane

  • D0-brane, D2-brane, D4-brane

  • D1-brane, D3-brane, D5-brane

  • RR-field, differential K-theory

• NS-brane

  • string, sigma-model

    • spinning string, superstring

    • B2-field

  • NS5-brane

    • B6-field

• M-brane

  • M2-brane

    • C3-field

    • ABJM theory, BLG model

  • M5-brane

    • C6-field

    • 6d (2,0)-supersymmetric QFT

Topological strings

• topological string, TCFT

  • A-model, B-model

• topological M-theory

Backgrounds

• target space, background gauge field

• twisted smooth cohomology in string theory

• landscape of string theory vacua

Phenomenology

• string phenomenology

  • moduli stabilization

  • G2-MSSM

gravity, supergravity

Formalism

• Poincaré Lie algebra

  • super Poincaré Lie algebra, supergravity Lie 3-algebra, supergravity Lie 6-algebra

• differential geometry

• (super-)Cartan geometry

  • pseudo-Riemannian manifold

  • spacetime

Definition

• Einstein-Hilbert action, Einstein's equations, general relativity

  • first-order formulation of gravity, D'Auria-Fre formulation of supergravity

  • gravity as a BF-theory, Plebanski formulation of gravity, teleparallel gravity

Spacetime configurations

• spacetime

• Minkowski spacetime

• black hole spacetime

  • Schwarzschild spacetime

  • Kerr spacetime

Properties

• Kaluza-Klein mechanism

• Bekenstein-Hawking entropy

• generalized second law of thermodynamics

• cosmic censorship hypothesis

• weak gravity conjecture

Spacetimes

• standard model of cosmology

• Minkowski spacetime

• asymptotically flat spacetime

• gravitational wave

• anti de Sitter spacetime

• FRW spacetime

• Taub-NUT spacetime

• Einstein manifold

• pp-wave spacetime

• KK-monopole

• Malament–Hogarth spacetime

• super spacetime

  • super Minkowski spacetime

• black brane

Quantum theory

• quantum gravity

  • graviton, gravitino

  • string theory